1. A good cube
2. Learn finger tricks (especially RUR' and RU'R' triggers and their reflections)
3. Do the cross + first two layers on the bottom; pieces will be a lot easier to find
4. Learn your color scheme so that you can do the cross intuitively and within 7 moves
F2L isn't really going to help you at this point. When you're ready, you should be easily under a minute with a layer-by-layer, 4-look LL method. What you should practice is looking ahead. Practice the cross until you can do it blindfolded after 15 seconds inspection. That way, you can look for the first corner piece while doing your cross. Same thing with inserting the corners; there are only three algorithms which you should know by heart, so you don't have to look at the piece you're inserting. Instead, look for the next piece.
For your LL, learn a full 4-look. That is, for OLL, learn an algorithm for each of the 7 possible states with all the edges correct. Additionally, learn an algorithm that will flip all four incorrect edges. For PLL, in addition to your corner cycles and edge cycles, learn both the Z-permutation (edges diagonal) and the H-permutation (edges across). Also, learn an algorithm that will switch two diagonal corners.
Your times should drop to about a minute with practice. Just keep practicing, and seeing pieces will get easier for you.